GCD of 500, 818, 448, 564 Calculator

Given Input numbers are 500, 818, 448, 564

In the factoring method, we have to find the divisors of all numbers

Divisors of 500 :

The positive integer divisors of 500 that completely divides 500 are.

1, 2, 4, 5, 10, 20, 25, 50, 100, 125, 250, 500

Divisors of 818 :

The positive integer divisors of 818 that completely divides 818 are.

1, 2, 409, 818

Divisors of 448 :

The positive integer divisors of 448 that completely divides 448 are.

1, 2, 4, 7, 8, 14, 16, 28, 32, 56, 64, 112, 224, 448

Divisors of 564 :

The positive integer divisors of 564 that completely divides 564 are.

1, 2, 3, 4, 6, 12, 47, 94, 141, 188, 282, 564

GCD of numbers is the greatest common divisor

So, the GCD (500, 818, 448, 564) = 2.

Given numbers are 500, 818, 448, 564

The list of prime factors of all numbers are

Prime factors of 500 are 2 x 2 x 5 x 5 x 5

Prime factors of 818 are 2 x 409

Prime factors of 448 are 2 x 2 x 2 x 2 x 2 x 2 x 7

Prime factors of 564 are 2 x 2 x 3 x 47

The highest common occurrence is 2¹

Therefore, GCD of 500, 818, 448, 564 is 2.

Given numbers are 500, 818, 448, 564

GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)

Apply this formula for all numbers.

Step1:

LCM(500, 818) = 204500

GCD(500, 818) = ( 500 x 818 ) / 204500

= 500 / 818

= 500

Step2:

LCM(2, 448) = 448

GCD(2, 448) = ( 2 x 448 ) / 448

= 2 / 448

= 2

Step3:

LCM(2, 564) = 564

GCD(2, 564) = ( 2 x 564 ) / 564

= 2 / 564

= 2

So, Greatest Common Divisor of 500, 818, 448, 564 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 479, 361, 490, 298
• GCD of 854, 399, 154, 561
• GCD of 507, 480, 164, 198
• GCD of 321, 918, 978, 446
• GCD of 564, 113, 142, 980

Given numbers are 500, 818, 448, 564
The greatest common divisor of numbers 500, 818, 448, 564 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 500, 818, 448, 564 is 2.

1. What is the GCD of 500, 818, 448, 564?

GCD of given numbers 500, 818, 448, 564 is 2

2. How to calculate the greatest common divisor of 500, 818, 448, 564?

We can find the highest common divisor of 500, 818, 448, 564 easily using the prime factorization method. Just list the prime factors of all numbers and pick the highest common factor which is the GCD of 500, 818, 448, 564 i.e 2.

3. How can I use the GCD of 500, 818, 448, 564Calculator?

Out the numbers 500, 818, 448, 564 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.